LCM of 222, 214, 297, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 214, 297, 550 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 222, 214, 297, 550. So, keep reading to learn more.
Given numbers are 222,214,297,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,214,297,550 is 58791150.
Find LCM of 222,214,297,550 with Prime Factorization
| 2 | 222, 214, 297, 550 |
| 3 | 111, 107, 297, 275 |
| 11 | 37, 107, 99, 275 |
| 37, 107, 9, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 107 x 9 x 25 = 58791150
Therefore, the lowest common multiple of 222,214,297,550 is 58791150.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
222 x 214 x 297 x 550 = 7760431800
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
222 : 1, 2, 3, 6, 37, 74, 111, 222
214 : 1, 2, 107, 214
297 : 1, 3, 9, 11, 27, 33, 99, 297
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,214,297,550, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
214:2x 107
297:3x 3x 3x 11
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 7760431800/(1x132)
LCM = 7760431800/132
LCM = 58791150
Thus, we can understand that the LCM of 222,214,297,550 is 58791150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 214, 297, 550
1. What is the LCM of 222, 214, 297, 550?
Answer: LCM of 222, 214, 297, 550 is 58791150.
2. How to calculate the LCM of 222, 214, 297, 550?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 222, 214, 297, 550.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.